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Finding the Fourth Proportional to 734.63, 1,013.84 and 485.52

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Solution

The fourth proportional to 734.63, 1,013.84 and 485.52 is: 670.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.63 : 1,013.84 = 485.52 : x
  2. Step 2: Convert to fraction form
    734.63/1,013.84 = 485.52/x
  3. Step 3: Cross multiply
    734.63x = 1,013.84 × 485.52
  4. Step 4: Simplify right side
    734.63x = 492,236.40
  5. Step 5: Solve for x
    x = 492,236.40/734.63
  6. Step 6: Final answer
    x = 670.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.